Questions in definite-integral

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$\int_{\,0}^{\,2\pi }{(\sin x+|\sin x|)\,dx=}$
The value of $\int_{-\pi /2}^{\,\pi /2}{(3\sin x+{{\sin }^{3}}x)\,dx}$ is
The value of $I=\int_{\,0}^{\,1}{\,x\,\left| x-\frac{1}{2} \right|\,dx}$ is
The value of $\int_{\,0}^{\,8}{\,|x-5|\,dx}$ is
$\int_{\,0}^{\,2}{\,|x-1|\,dx=}$
$\int_{\,-\,2}^{\,2}{\,\left| \,[x]\, \right|\,dx=}$
$\int_{\,0}^{\,1}{\,{{\tan }^{-1}}\left( \frac{1}{{{x}^{2}}-x+1} \right)\,dx}$ is
The value of $\int_{\,a}^{\,b}{\frac{x}{|x|}dx,\,\,a
The value of $\int_{\,-2}^{\,2}{\left[ p\ln \left( \frac{1+x}{1-x} \right)+q\ln {{\left( \frac{1-x}{1+x} \right)}^{-2}}+r \right]\,dx}$ depends on
$\int_{0}^{\pi }{\frac{xdx}{1+\sin x}}$is equal to

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